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14387480 = 2352979157
BaseRepresentation
bin110110111000…
…100100011000
31000001221220122
4312320210120
512140344410
61232212412
7233202002
oct66704430
930057818
1014387480
118137588
12499a108
132c99903
141ca7372
1513e2e55
hexdb8918

14387480 has 64 divisors (see below), whose sum is σ = 34128000. Its totient is φ = 5451264.

The previous prime is 14387453. The next prime is 14387507. The reversal of 14387480 is 8478341.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14387453) and next prime (14387507).

It is a self number, because there is not a number n which added to its sum of digits gives 14387480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91562 + ... + 91718.

It is an arithmetic number, because the mean of its divisors is an integer number (533250).

Almost surely, 214387480 is an apocalyptic number.

14387480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14387480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17064000).

14387480 is an abundant number, since it is smaller than the sum of its proper divisors (19740520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14387480 is a wasteful number, since it uses less digits than its factorization.

14387480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 14387480 is about 3793.0831786292. The cubic root of 14387480 is about 243.2175508889.

The spelling of 14387480 in words is "fourteen million, three hundred eighty-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 79 116 145 157 158 232 290 314 316 395 580 628 632 785 790 1160 1256 1570 1580 2291 3140 3160 4553 4582 6280 9106 9164 11455 12403 18212 18328 22765 22910 24806 36424 45530 45820 49612 62015 91060 91640 99224 124030 182120 248060 359687 496120 719374 1438748 1798435 2877496 3596870 7193740 14387480